Types Omitted in Uncountable Models of Arithmetic
β Scribed by Julia F. Knight
- Book ID
- 124972412
- Publisher
- Association for Symbolic Logic
- Year
- 1975
- Tongue
- English
- Weight
- 143 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2272157
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We prove that the finiteβmodel version of arithmetic with the divisibility relation is undecidable (more precisely, it has Ξ ^0^~1~βcomplete set of theorems). Additionally we prove FMβrepresentability theorem for this class of finite models. This means that a relation __R__ on natural nu
## Abstract We present some general results concerning the topological space of cuts of a countable model of arithmetic given by a particular indicator __Y__. The notion of βindicatorβ is de.ned in a novel way, without initially specifying what property is indicated and is used to de.ne a topologi